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中文摘要：
利用复变函数方法，通过构造保角映射，研究了一维六方准晶中带双裂纹的椭圆孔口的反平面剪切问题，给出了Ⅲ型裂纹问题的应力强度因子，在极限情形下，不仅可以还原为已有的结果，而且求得一维六方准晶中带双裂纹的圆形孔口问题、十字裂纹问题在裂纹尖端的应力强度因子。
英文摘要：
By means of the complex variable function method and using the technique of confonnal mapping, the anti-plane shear problem about an elliptic hole with two straight cracks in one-dimen- sional hexagonal quasicrystals was investigated and the solution of the stress intensity factor（SIFs） of mode Ill was found out. Under the condition of limitation, not only the known result can be obtained but also the solutions of the SIFs at the crack tip to a circular hole with two straight cracks and a cross crack in one-dimensional hexagonal quasicrystals are found out.
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